Use exponents to write repeated multiplication

Repeated multiplication of the same whole-number factor is represented compactly in exponential notation: the repeated factor is the base, and the number of factors is the nonnegative integer exponent (for example, $4 \times 4 \times 4=4^3$ ). This includes interpreting and translating between expanded and exponential forms, while distinguishing $4^3$ from $4 \times 3$ ; negative, fractional, and variable exponents, as well as exponent laws, are beyond this scope.

Detailed Explanation: Use exponents to write repeated multiplication

When the same whole number is multiplied by itself, use exponential notation:

The repeated number is the base.
The number of times it appears is the exponent.

For example, write $(7 \times 7 \times 7 \times 7)$ in exponential notation.

Find the repeated factor: it is $7$ . So, $7$ is the base.
Count the factors: there are $4$ sevens. So, $4$ is the exponent.
Write the base and exponent:

7 \times 7 \times 7 \times 7 = 7^4

The expression $(7^4)$ means $7$ is used as a factor $4$ times. It does not mean $(7 \times 4)$ .

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Use exponents to write repeated multiplication

Detailed Explanation: Use exponents to write repeated multiplication

Learn by doing: Use exponents to write repeated multiplication

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Exponents - Expanded Form